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The mechanism of the reaction, 2NO+O(2)r...

The mechanism of the reaction, `2NO+O_(2)rarr2NO_(2)` is
`NO+NO underset(k_(-1))overset(k_(1))rarr N_(2)O_(2)` (fast)
`N_(2)O_(2)+O_(2)overset(k_(2))rarr2NO_(2)` (slow) The rate constant of the reaction is

A

`k_(2)`

B

`k_(2)k_(1)(k_(1))`

C

`k_(2)k_(1)`

D

`k_(2)(k_(1))/(k_(-1))`

Text Solution

Verified by Experts

The correct Answer is:
D
Slow step is the rate determining step (RDS) and `N_(2)O_(2)` is the reactive intermediate `therefore r=k_(2)[N_(2)O_(2)][O_(2)]`
substitute `[N_(2)O_(2)]` in Eq (i) `r=k_(2) (k_(1))/(k_(-1))[NO]^(2)[O_(2)]` hence rate constant =`k_(2)(k_(1))/(k_(-1))`
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